Write Up 5

Alison Hays

This write up contains a library of the GSP scripts that I created (Fall 2001). I created all of these scripts using version 3 of GSP, and I am in the process of converting the files to GSP 4.05. Until I am finished, some of the links may not work.

Dividing Segments

 Trisect a given line segment. GSP3 Script | GSP4 Script Tool Divide a given segment into two parts that form the golden ratio. GSP3 Script | GSP4 Script Tool

Triangles -- Special Points and Special Circles

 Construct the centroid G of a given triangle. GSP3 Script | GSP4 Script Tool Construct the orthocenter H of a given triangle. GSP3 Script | GSP4 Script Tool Construct the circumcenter C of a given triangle. GSP3 Script | GSP4 Script Tool Construct the circumcircle of a given triangle. GSP3 Script | GSP4 Script Tool Construct the incenter I of a given triangle. GSP3 Script | GSP4 Script Tool Construct the incircle of a given triangle. GSP3 Script | GSP4 Script Tool Construct the center of the nine point circle for a given triangle. GSP3 Script | GSP4 Script Tool Construct the nine point circle for a given triangle. GSP3 Script | GSP4 Script Tool Construct the triangle centers (H, G, C, and I) for a given triangle. GSP3 Script | GSP4 Script Tool Construct the triangle centers and the Euler line for a given triangle. GSP3 Script | GSP4 Script Tool

Triangles from Triangles

 Construct the medial triangle for a given triangle. GSP3 Script | GSP4 Script Tool Construct the triangle with vertices at the midpoints of the segments from the orthocenter to the vertices of a given triangle. GSP3 Script | GSP4 Script Tool Construct the orthic triangle for a given triangle. GSP3 Script | GSP4 Script Tool Construct the pedal triangle for a given triangle. GSP3 Script | GSP4 Script Tool Construct a triangle which has sides of the lengths of the three medians of a given triangle. GSP3 Script | GSP4 Script Tool

Regular Polygons

 Construct an equilateral triangle, given a side. GSP3 Script | GSP4 Script Tool Construct a square, given a side. GSP3 Script | GSP4 Script Tool Construct a regular pentagon, given a side. GSP3 Script | GSP4 Script Tool Construct a regular hexagon, given a side. GSP3 Script | GSP4 Script Tool Construct a regular octagon, given a side. GSP3 Script | GSP4 Script Tool Construct a regular dodecagon, given a side. GSP3 Script | GSP4 Script Tool

Tangent Circles

 Given a circle and a point outside the circle, construct two lines that are tangent to the circle and go through the given point. GSP3 Script | GSP4 Script Tool Construct a circle that is tangent to two given circles. GSP3 Script | GSP4 Script Tool Construct a different circle that is tangent to two given circles. GSP3 Script | GSP4 Script Tool

A Few More Constructions

 Construct an isosceles triangle, given the base and altitude. GSP3 Script | GSP4 Script Tool Construct a right triangle given one of its legs. GSP3 Script | GSP4 Script Tool Given a triangle, construct a square that has the same area as the triangle. GSP3 Script | GSP4 Script Tool Given points A and B, construct an angle BAD measuring 30 degrees. GSP3 Script | GSP4 Script Tool

Alison's web page | Student Web Pages | EMAT 6680 Page